multiply the binomials using the foil method. combine like terms. (x-8)(x+1)
To multiply the binomials using the FOIL method, we need to multiply the first terms, then the outer terms, then the inner terms, and finally the last terms.
First, multiply the first terms:
(x)(x) = x^2
Next, multiply the outer terms:
(x)(1) = x
Now, multiply the inner terms:
(-8)(x) = -8x
Finally, multiply the last terms:
(-8)(1) = -8
Now, combine the like terms:
x^2 + x - 8x - 8
Simplifying further:
x^2 - 7x - 8
Therefore, the product of (x-8)(x+1) is x^2 - 7x - 8.